Functions Of Matrices

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Functions Of Matrices

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Author : Nicholas J. Higham
language : en
Publisher: SIAM
Release Date : 2008-01-01

Functions Of Matrices written by Nicholas J. Higham and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.

A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.

Matrix Functions And Matrix Equations

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Author : Zhaojun Bai
language : en
Publisher: World Scientific
Release Date : 2015-09-04

Matrix Functions And Matrix Equations written by Zhaojun Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-04 with Mathematics categories.

Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed. This book covers materials relevant to advanced undergraduate and graduate courses in numerical linear algebra and scientific computing. It is also well-suited for self-study. The broad content makes it convenient as a general reference to the subjects.

Factorization Of Measurable Matrix Functions

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Author : G.S. Litvinchuk
language : en
Publisher: Birkhäuser
Release Date : 2013-11-21

Factorization Of Measurable Matrix Functions written by G.S. Litvinchuk and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.

Factorization Of Matrix Functions And Singular Integral Operators

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Author : Prof. Kevin F. Clancey
language : en
Publisher: Birkhäuser
Release Date : 2013-11-21

Factorization Of Matrix Functions And Singular Integral Operators written by Prof. Kevin F. Clancey and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.

A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa tions which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equa tions. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis appli cations to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a represen tative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connec tions are still not weIl understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan.

Monotone Matrix Functions And Analytic Continuation

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Author : W.F.Jr. Donoghue
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Monotone Matrix Functions And Analytic Continuation written by W.F.Jr. Donoghue and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

A Pick function is a function that is analytic in the upper half-plane with positive imaginary part. In the first part of this book we try to give a readable account of this class of functions as well as one of the standard proofs of the spectral theorem based on properties of this class. In the remainder of the book we treat a closely related topic: Loewner's theory of monotone matrix functions and his analytic continuation theorem which guarantees that a real function on an interval of the real axis which is a monotone matrix function of arbitrarily high order is the restriction to that interval of a Pick function. In recent years this theorem has been complemented by the Loewner-FitzGerald theorem, giving necessary and sufficient conditions that the continuation provided by Loewner's theorem be univalent. In order that our presentation should be as complete and trans parent as possible, we have adjoined short chapters containing the in formation about reproducing kernels, almost positive matrices and certain classes of conformal mappings needed for our proofs.

Matrix Theory And Applications

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Author : Charles R. Johnson
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Matrix Theory And Applications written by Charles R. Johnson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

This volume contains the lecture notes prepared for the AMS Short Course on Matrix Theory and Applications, held in Phoenix in January, 1989. Matrix theory continues to enjoy a renaissance that has accelerated in the past decade, in part because of stimulation from a variety of applications and considerable interplay with other parts of mathematics. In addition, the great increase in the number and vitality of specialists in the field has dispelled the popular misconception that the subject has been fully researched.

Monotone Matrix Functions And Analytic Continuation

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Author : William F. Donoghue
language : en
Publisher: Springer Verlag
Release Date : 1974

Monotone Matrix Functions And Analytic Continuation written by William F. Donoghue and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Analytic continuation. categories.

Factorization Of Matrix And Operator Functions The State Space Method

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Author : Harm Bart
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20

Factorization Of Matrix And Operator Functions The State Space Method written by Harm Bart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Mathematics categories.

This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.

Operator Theory Analytic Functions Matrices And Electrical Engineering

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Author : J. William Helton
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Operator Theory Analytic Functions Matrices And Electrical Engineering written by J. William Helton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.

Minimal Factorization Of Matrix And Operator Functions

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Author : BART
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-21

Minimal Factorization Of Matrix And Operator Functions written by BART and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Science categories.